Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.
Quantification ; I. THE LOGICAL CONCEPTION OF QUANTIFIERS AND QUANTIFICATION ; 1. A Brief History of Quantification ; 2. The Emergence of Generalized Quanitifiers in Modern Logic ; II. QUANTIFIERS OF NATURAL LANGUAGE ; 3. Type 1 Quantifiers of Natural and Logical Languages ; 4. Type 1,1 Quantifiers of Natural Language ; 5. Monotone Quantifiers ; 6. Symmetry and Other Relational Properties of Type 1,1 Quantifiers ; 7. Possessive Quantifiers ; 8. Exceptive Quantifiers ; 9. Which Quantifiers are Logical? ; 10. Some Polyadic Quantifiers of Natural Language ; III. BEGINNINGS OF A THEORY OF EXPRESSIVENESS, TRANSLATION, AND FORMALIZATION ; 11. The Concept of Expressivity ; 12. Expressibility, Definability, Compositionality ; IV. LOGICAL RESULTS OF EXPRESSIBILITY WITH LINGUISTIC APPLICATIONS ; 13. Definability and Undefinability in Logical Languages: Tools for the Monadic Case ; 14. Applications to Monadic Definability ; 15. EF-tools for Polyadic Quantifiers
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